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Finding the Third Proportional to 262,528 and 396,194

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Solution

The third proportional to 262,528 and 396,194 is: 597,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,528 : 396,194 = 396,194 : x
  2. Step 2: Convert to fraction form
    262,528/396,194 = 396,194/x
  3. Step 3: Cross multiply
    262,528x = 396,194 × 396,194
  4. Step 4: Simplify right side
    262,528x = 156,969,685,636
  5. Step 5: Solve for x
    x = 156,969,685,636/262,528
  6. Step 6: Final answer
    x = 597,915.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.